MATH 4045/5045: Advanced Algebra I

Fall 2023, Dalhousie University

Time and location: Mondays & Wednesdays 8:35 - 9:55 am, Chase 227

Office hours: Mondays 10:30 - 11:30 am & Tuesdays 9:30 - 10:30 am in Chase 314

Course Syllabus: is available here.



Calendar

Wednesday Sep 6 Review of rings and ideals
Monday Sep 11 Modules, submodules, homomorphisms
Wednesday Sep 13 Hom and Quotient modules
Monday Sep 18 Isomorphism theorems, module generators, direct sums
Wednesday Sep 20 Free modules
Monday Sep 25 Tensor products
Wednesday Sep 27 Tensor products
Monday Oct 2 No class -- University closed
Wednesday Oct 4 Tensor products
Monday Oct 9 No class -- University closed
Wednesday Oct 11 Tensor products
Monday Oct 16 Tensor products
Wednesday Oct 18 Exact sequences
Monday Oct 23 Short Five Lemma
Wednesday Oct 25 Midterm
Monday Oct 30 The invariant rank property
Wednesday Nov 1 Exact functors
Monday Nov 6 Projective modules
Wednesday Nov 8 The Hom functor
Monday Nov 13 Study Break
Wednesday Nov 15 Study Break
Monday Nov 20 Injective module, Baer's criterion, divisible modules
Wednesday Nov 22 injective modules
Monday Nov 27 Noetherian modules
Wednesday Nov 29 Modules over PIDs
Monday Dec 4
Tuesday Dec 5
Wednesday Dec 6